A spherical nonconducting surface of radius R is uniformly charged in its surface with net charge +Q. Calculate the electric field at a point P which is located at a distance R from the right border of the sphere. Calculate the electric field at a point R/2 at each side of the center of the sphere.
I came up with this.
dq = pdV
V = f(x,y,z) = x^2 + y^2 + z^2 - R = 0
∂V = 2y∂y
and E→p = ke ∫2R-R dq/y^2 r→
The Attempt at a Solution
After integration, E→p = 2keQ(ln2)/R r→
My question is, am I applying the concept of electric field due to a charge distribution in the correct way? I think I might have got it wrong with the dV component... Also, since the topic is Gauss Law, how am I supposed to use the concept of a gaussian surface to calculate electric field?